A began a business with Rs. 85, 000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?
A. 6 Months
B. 7 Months
C. 8 Months
D. 9 Months
8 Months
=> A's investment = Rs.85000/-
=> Investment Duration = 1 Year = 12 Months (because profit is being calculated at the end of the year)
=> B's Investment = Rs.42500/-
=> Say, duration of investment by B is N
=> Ratio of investment of A and B = 85000 x 12 : 42500 x N
=> 1020000 : 42500N
=> Ratio of Profit = 3 : 1
=> 1020000 : 42500N = 3 : 1
=> N = 8
So, B's investment must be for 8 Months
Two friends P and Q started a business investing in the ratio of 5 : 6. R joined them after 6 months investing an amount equal to that of Q's. At the end of the year, 20% profit was earned which was equal to Rs. 98,000. What was the amount invested by R?
A. Rs. 1,00,000
B. Rs. 1,05,000
C. Rs. 1,10,000
D. Rs. 1,15,000
Rs. 1,05,000
=> Ratio of investment of P and Q = 5 : 6
=> Say money invested by P and Q = Z
=> The amount invested by Q = 6Z / ( 5 + 6 ) = 6Z / 11
=> Similarly, the amount invested by P = 5Z / 11
=> R invested the amount after 6 months and he invested the amount same as Q
=> So, R's investment = 6Z / 11
=> Total Investment Y = P's Investment for 12 months x Q's investment for 12 months x R's investment for 6 months
=> Y = (5Z / 11) x 12 + (6Z / 11) x 12 + (6Z/11) x 6
=> Y = 168Z / 11
=> Profit = 20% of total investment Y
=> 98000 = (20 / 100) x Y
=> Y = 490000
=> 490000 = 168Z / 11
=> Z = 490000 x 11 / 168
=> R's investment = 36Z / 11 = 105000
A and B are partner in a business. A contributes 1/4th of the capital for 15 months and B received 2/3 of the profit. For how long does B's money is used?
A. 9 Months
B. 10 Months
C. 11 Months
D. 12 Months
10 Months
=> Say, Capital = Z
=> A's contribution = 1/4th of capital i.e. Z/4
=> So, B's capital = Total Capital - A's Capital = Z - Z/4 = 3Z/4
=> Say, B has invested for N months
=> Ratio of Investment = (Z/4) x 15 : (3Z/4) x N = 5 : N
=> Total profit = P
=> So, B's share in profit is 2P/3
=> Therefore, A's share = P - 2P/3 = P/3
=> Ratio of Profit = P/3 : 2P/3 = P : 2P = 1 : 2
=> Ratio of Investmment = Ratio of Profit
=> 5 : N = 1 : 2
=> N = 10
=> So, B's investment is for 10 Months
A, B, and C hired a car for Rs. 520 and used it for 7, 8 and 11 hours respectively. Hire Charges to be paid by B:
A. 130
B. 140
C. 150
D. 160
160
=> Total Hire charges = 520
=> Usage duration by A, B, and C = 7, 8, and 11 hours
=> Their ratio is 7 : 8 : 11
=> Charges paid by B = ( 8 / ( 7 + 8 + 11 ) ) x 520 = 520 x 8 / 26 = 160
=> So, B has to pay Rs.160/-
A starts business with Rs. 3500 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2 : 3. what is B's contribution in the capital?
A. Rs.8000/-
B. Rs.9000/-
C. Rs.6000/-
D. Rs.7000/-
Rs.9000/-
=> Profit sharing ratio = 2 : 3
=> Duration of business = 1 Year = 12 Months
=> A's total investment = 3500 x 12 = 42000
=> B's Investment = Z for (12 - 5) Months = 7Z
=> Ratio of their investments = 42000 : 7Z
=> As Ratio of investment = Ratio of Profit sharing
=> So, 42000 : 7Z = 2 : 3
=> 42000/7Z = 2/3
=> 126000 = 14Z
=> Z = 9000
So, B's investment is Rs.9000/-
A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is Rs. 855, the total profit is:
A. Rs. 1425
B. Rs. 1500
C. Rs. 1550
D. Rs. 1600
Rs. 1500
Let the total profit be Rs. 100
After paying to charity, A's share = Rs. [ 95 x (3/5) ] = Rs. 57
If A's share is Rs. 57, total profit = Rs. 100
If A's share Rs. 855, total profit = [ (100/57) x 855 ] = 1500
A, B and C jointly thought of engaging themselves in a business venture. It was agreed that A would invest Rs. 6500 for 6 months, B, Rs. 8400 for 5 months and C, Rs. 10,000 for 3 months. A wants to be the working member for which, he was to receive 5% of the profits. The profit earned was Rs. 7400. Calculate the share of B in the profit
A. Rs. 1900
B. Rs. 2660
C. Rs. 2800
D. Rs. 2960
Rs. 2660
For managing, A received = 5% of Rs. 7400 = Rs. 370
Balance = Rs. (7400 - 370) = Rs. 7030
Ratio of their investments = (6500 x 6) : (8400 x 5) : (10000 x 3)
= 39000 : 42000 : 30000
= 13 : 14 : 10
=> B's share = Rs. [ 7030 x (14/37) ] = Rs. 2660
A, B and C enter into a partnership in the ratio 7/2 : 4/3 : 6/5 After 4 months, A increases his share 50%. If the total profit at the end of one year be Rs. 21,600, then B's share in the profit is:
A. Rs. 2100
B. Rs. 2400
C. Rs. 3600
D. Rs. 4000
Rs. 4000
Ratio of initial investments = [ (7/2) : (4/3) : (6/5) ] = 105 : 40 : 36
Let the initial investments be 105x, 40x and 36x
=> A : B : C = [ 105x x 4 + (150/100) x 105x x 8 ] : (40x x 12) : (36x x 12)
=> 1680x : 480x : 432x = 35 : 10 : 9
=> Hence, B's share = Rs. [ 21600 x (10/54) ] = Rs. 4000
A, B, C subscribe Rs. 50,000 for a business. A subscribes Rs. 4000 more than B and B Rs. 5000 more than C. Out of a total profit of Rs. 35,000, A receives:
A. Rs. 8400
B. Rs. 11,900
C. Rs. 13,600
D. Rs. 14,700
Rs. 14,700
Let C = x.
Then, B = x + 5000 and A = x + 5000 + 4000 = x + 9000.
So, x + x + 5000 + x + 9000 = 50000
=> 3x = 36000
=> x = 12000
A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12
=> A's share = Rs. [ 35000 x (21/50) ] = Rs. 14,700
Three partners shared the profit in a business in the ratio 5 : 7 : 8. They had partnered for 14 months, 8 months and 7 months respectively. What was the ratio of their investments?
A. 5 : 7 : 8
B. 20 : 49 : 64
C. 38 : 28 : 21
D. 49 : 20 : 64
20 : 49 : 64
Let their investments be Rs. x for 14 months, Rs. y for 8 months and Rs. z for 7 months respectively
Then, 14x : 8y : 7z = 5 : 7 : 8
Now, 14x/8y = 5/7 <=> 98x = 40y <=> y = (49/20) x
and 14x/7z = 5/8 <=> 112x = 35z <=> z = (112/35) x = (16/5) x
=> x : y : z = x : (49/20) x : (16/5) x = 20 : 49 : 64
A and B entered into partnership with capitals in the ratio 4 : 5. After 3 months, A withdrew 1/4 of his capital and B withdrew 1/5 of his capital. The gain at the end of 10 months was Rs. 760. A's share in this profit is:
A. Rs. 330
B. Rs. 360
C. Rs. 390
D. Rs. 420
Rs. 330
| A : B = | [ | 4x x 3 + | [ | 4x - | (1/4) | x 4x | ] | x 7 | ] | : | [ | 5x x 3 + | [ | 5x - | (1/5) | x 5x | ] | x 7 | ] |
= (12x + 21x) : (15x + 28x)
= 33x :43x
= 33 : 43
A's share = Rs. [ 760 x (33/76) ] = Rs. 330
A and B started a partnership business investing some amount in the ratio of 3 : 5. C joined then after six months with an amount equal to that of B. In what proportion should the profit at the end of one year be distributed among A, B and C?
A. 3 : 5 : 2
B. 3 : 5 : 5
C. 6 : 10 : 5
D. 5 : 5 : 3
6 : 10 : 5
Let the initial investments of A and B be 3x and 5x
A : B : C = (3x x 12) : (5x x 12) : (5x x 6)
= 36 : 60 : 30 = 6 : 10 : 5
A, B, C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?
A. Rs. 45
B. Rs. 50
C. Rs. 55
D. Rs. 60
Rs. 45
A : B : C = (10 x 7) : (12 x 5) : (15 x 3) = 70 : 60 : 45 = 14 : 12 : 9
=> C's rent = Rs. [ 175 x (9/35) ] = Rs. 45
A and B started a business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After six months, C joined them with Rs. 20,000. What will be B's share in total profit of Rs. 25,000 earned at the end of 2 years from the starting of the business?
A. Rs. 7500
B. Rs. 9000
C. Rs. 9500
D. Rs. 10,000
Rs. 7500
A : B : C = (20,000 x 24) : (15,000 x 24) : (20,000 x 18) = 4 : 3 : 3
=> B's Share = Rs. [ 25000 x (3/10) ] = Rs. 7,500
Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs.. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business?
A. 7 : 6 : 10
B. 12 : 15 : 16
C. 42 : 45 : 56
D. 10 : 25 : 29
12 : 15 : 16
Aman : Rakhi : Sagar = (70,000 x 36) : (1,05,000 x 30) : (1,40,000 x 24) = 12 : 15 : 16
Arun, Kamal and Vinay invested Rs. 8000, Rs. 4000 and Rs. 8000 respectively in a business. Arun left after six months. If after eight months, there was a gain of Rs. 4005, then what will be the share of Kamal?
A. Rs. 890
B. Rs. 1335
C. Rs. 1602
D. Rs. 1780
Rs. 890
Arun : Kamal : Vinay = (8,000 x 6) : (4,000 x 8) : (8,000 x 8)
= 48 : 32 : 64 = 3 : 2 : 4
=> Kamal's share = Rs. [ 4005 x (2/9) ] = Rs. 890
Simran started a software business by investing Rs. 50,000. After six months, Nanda joined her with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was Simran's share in the profit?
A. Rs. 9,423
B. Rs. 10,250
C. Rs. 12,500
D. Rs. 10,500
Rs. 10,500
Simran : Nanda = (50000 x 36) : (80000 x 30) = 3 : 4
=> Simran's share = Rs. [ 24500 x (3/7) ] = Rs. 10,500
Tarun got 30% concession on the labeled price of an article and sold it for Rs. 8750 with 25% profit on the price he bought. What was the labeled price?
A. Rs. 10,000
B. Rs. 12,000
C. Rs. 16,000
D. Data inadequate
E. None of these
Rs. 10,000
A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A’s share is Rs. 855, the total profit is:
A. Rs. 1425
B. Rs. 1500
C. Rs. 1537.50
D. Rs. 1576
Rs. 1500
A, B, C hired a car for Rs. 520 and used it for 7, 8 and 11 hours respectively. Hire charges paid by B were:
A. Rs. 140
B. Rs. 160
C. Rs. 180
D. Rs. 220
Rs. 160
X, Y, Z, enter into a partnership. X invests some money at the beginning y, invests 4 times The amount after 8 months and Z invests 3 times the amount after 10 months. If the annual profit be Rs. 8500 then Z’s share is
A. 1525
B. 1875
C. 2000
D. 1500
1500
Four milkmen rented a pasture. A grazed 15 cows for 4months, B grazed 12 cows for 2months, C grazed 18 cows for 6 months, and D grazed 16 cows for 5 months. If A’s share of rent is Rs 1,020, what is C’s share of rent?
A. Rs.1,836
B. Rs 1,360
C. Rs. 816
D. Cannot be determined
Rs.1,836
Three partners A, B, C start a business. Twice A’s capital is equal to thrice B’s capital and B’s capital is four times C’s capital. Out of a total profit of Rs. 16,500 at the end of the year, B’s share is:
A. Rs. 4000
B. Rs. 6000
C. Rs. 7500
D. Rs. 6600
Rs. 6000
A and B started a business with initial investments in the ratio 14 : 15 and their annual profits were in the ratio 7 : 6. If A invested the money for 10 months, for how many months did B invest his money?
A. 6
B. 7
C. 8
D. 9
8
A, B and C rent a pasture. A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing. If the rent of the pasture is Rs. 175, how much must C pay as his share of rent?
A. Rs. 45
B. Rs. 50
C. Rs. 55
D. Rs. 60
Rs. 45
A, B, C enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively. The respective shares of A, B, C in an annual profit of Rs. 40,500 are :
A. Rs. 10,500, Rs. 13,500, Rs. 16,500
B. Rs. 11,500, Rs. 13,000, Rs. 16,000
C. Rs. 11,000, Rs. 14,000, Rs. 15,500
D. Rs. 11,500, Rs. 12,500, Rs. 16,500
E. None of these
Rs. 10,500, Rs. 13,500, Rs. 16,500
In a partnership, A invests 1/6 of the capital for 1/6 of the time B invests 1/3 of the capital for 1/3 of the time and C, the rest of the capital for whole time find A’s share of the total profit of 2,300
A. 100
B. 200
C. 300
D. 400
E. None of these
100
Three partners A, B, C start a business. Twice A’s capital is equal to thrice B’s capital and B’s capital is four times C’s capital. Out of a total profit of Rs. 16,500 at the end of the year, B’s share is:
A. Rs. 4000
B. Rs. 6000
C. Rs. 7500
D. Rs. 6600
Rs. 6000
Anand and Deepak started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak’s share is:
A. Rs. 5400
B. Rs. 7200
C. Rs. 8400
D. Rs. 9600
Rs. 8400
A and B invest in a business in the ratio 3:2 if 5% of the total profit goes to charity and A’s share is Rs. 855, the total profit is:
A. Rs.1425
B. Rs.1500
C. Rs.1537.50
D. Rs.1576
Rs.1500